Find the length of the height of the cone. (1 point) cm
19 answers
The question is incomplete. Please provide more information about the cone, such as its radius or slant height, in order to calculate the length of its height.
the height of the cone is 13cm and the bottom of the cone is 10cm
To find the length of the height of the cone, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we can consider the cone as a right triangle, with the height being the vertical side and the radius being the horizontal side.
Let's call the length of the radius "r" and the length of the height "h". In this case, r = 10 cm and h = 13 cm.
Applying the Pythagorean theorem, we have:
r^2 + h^2 = hypotenuse^2
10^2 + 13^2 = hypotenuse^2
100 + 169 = hypotenuse^2
269 = hypotenuse^2
To find the length of the height of the cone, we need to find the value of the hypotenuse. Taking the square root of both sides of the equation, we have:
√269 = √(hypotenuse^2)
√269 = hypotenuse
Therefore, the length of the height of the cone is approximately equal to the square root of 269 cm.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we can consider the cone as a right triangle, with the height being the vertical side and the radius being the horizontal side.
Let's call the length of the radius "r" and the length of the height "h". In this case, r = 10 cm and h = 13 cm.
Applying the Pythagorean theorem, we have:
r^2 + h^2 = hypotenuse^2
10^2 + 13^2 = hypotenuse^2
100 + 169 = hypotenuse^2
269 = hypotenuse^2
To find the length of the height of the cone, we need to find the value of the hypotenuse. Taking the square root of both sides of the equation, we have:
√269 = √(hypotenuse^2)
√269 = hypotenuse
Therefore, the length of the height of the cone is approximately equal to the square root of 269 cm.
thats wrong
I apologize for the incorrect response.
To find the length of the height of the cone, we can use the Pythagorean theorem.
Let's call the length of the radius "r" and the length of the height "h". In this case, r = 10 cm and h = 13 cm.
Applying the Pythagorean theorem, we have:
r^2 + h^2 = hypotenuse^2
10^2 + 13^2 = hypotenuse^2
100 + 169 = hypotenuse^2
269 = hypotenuse^2
To find the hypotenuse, we can take the square root of both sides of the equation:
hypotenuse = √(269)
hypotenuse ≈ 16.4 cm
Therefore, the length of the height of the cone is approximately 16.4 cm.
To find the length of the height of the cone, we can use the Pythagorean theorem.
Let's call the length of the radius "r" and the length of the height "h". In this case, r = 10 cm and h = 13 cm.
Applying the Pythagorean theorem, we have:
r^2 + h^2 = hypotenuse^2
10^2 + 13^2 = hypotenuse^2
100 + 169 = hypotenuse^2
269 = hypotenuse^2
To find the hypotenuse, we can take the square root of both sides of the equation:
hypotenuse = √(269)
hypotenuse ≈ 16.4 cm
Therefore, the length of the height of the cone is approximately 16.4 cm.
Given l=30 in. , w=20 in. , h=18 in. , and x=36.1 in. , find the length of d . Round the answer to the nearest tenth. (1 point)
Based on the given information, it is unclear what value or measurement "d" represents in relation to the other variables provided (l, w, h, and x). Could you please provide more context or clarify the meaning of "d" in this question?
i dont know
Unfortunately, without further information or clarification on the context of "d" in relation to the given variables (l, w, h, and x), it is not possible to determine the length of "d" or solve the problem.
Given l=30 in. , w=20 in. , h=18 in. , and x=36.1 in. , find the length of d . Round the answer to the nearest tenth. (1 point) it has numbers you dingdong
Apologies for the confusion. To find the length of "d" in the given scenario, we need further information or an equation that relates "d" to the other variables. The values of l, w, h, and x have been provided, but there is no specific equation or information given that allows us to calculate the length of "d". If you can provide more context or any additional information, I'll be happy to assist you further.
For the square pyramid, the lateral edge length, e , is 25 in., and the slant height, s , is 24 in. Find the height of the pyramid, h . Round the answer to the nearest whole number. Hint: Before finding the length of h , you will first need to find the length of r . (1 point) The height of the square pyramid is in.
To find the height of the square pyramid, we can use the Pythagorean theorem.
Let's call the height of the pyramid "h" and the length of the slant height "s". In this case, s = 24 in.
We are given the lateral edge length "e" as 25 in. The lateral edge length represents the distance from the apex (top) of the pyramid to the midpoint of one of the sides.
We can find the length of the base edge, "r", by using the Pythagorean theorem. The base edge, "r", is the distance from the apex to one of the vertices of the base.
To find the length of "r", we can use the equation:
r^2 = s^2 - (e/2)^2
Substituting the given values:
r^2 = 24^2 - (25/2)^2
r^2 = 576 - (625/4)
r^2 = 576 - 156.25
r^2 = 419.75
Taking the square root of both sides:
r ≈ √(419.75)
r ≈ 20.48
Now that we have the length of "r", we can find the height of the pyramid, "h". The height is the distance from the apex to the base.
Using the Pythagorean theorem again, we have:
h^2 = s^2 - r^2
h^2 = 24^2 - 20.48^2
h^2 = 576 - 419.75
h^2 ≈ 156.25
Taking the square root of both sides:
h ≈ √(156.25)
h ≈ 12.5
Therefore, the height of the square pyramid is approximately 12.5 inches. Rounded to the nearest whole number, the height is 13 inches.
Let's call the height of the pyramid "h" and the length of the slant height "s". In this case, s = 24 in.
We are given the lateral edge length "e" as 25 in. The lateral edge length represents the distance from the apex (top) of the pyramid to the midpoint of one of the sides.
We can find the length of the base edge, "r", by using the Pythagorean theorem. The base edge, "r", is the distance from the apex to one of the vertices of the base.
To find the length of "r", we can use the equation:
r^2 = s^2 - (e/2)^2
Substituting the given values:
r^2 = 24^2 - (25/2)^2
r^2 = 576 - (625/4)
r^2 = 576 - 156.25
r^2 = 419.75
Taking the square root of both sides:
r ≈ √(419.75)
r ≈ 20.48
Now that we have the length of "r", we can find the height of the pyramid, "h". The height is the distance from the apex to the base.
Using the Pythagorean theorem again, we have:
h^2 = s^2 - r^2
h^2 = 24^2 - 20.48^2
h^2 = 576 - 419.75
h^2 ≈ 156.25
Taking the square root of both sides:
h ≈ √(156.25)
h ≈ 12.5
Therefore, the height of the square pyramid is approximately 12.5 inches. Rounded to the nearest whole number, the height is 13 inches.
The Pyramid is an arena in Memphis, Tennessee. Its height is 321 ft., and its slant height is 436.5 ft. Find the length of the edge of the square base. Round the answer to the nearest tenth. (1 point) ft.
To find the length of the edge of the square base of the pyramid, we can use the Pythagorean theorem.
Let's call the height of the pyramid "h" and the length of the slant height "s". In this case, h = 321 ft and s = 436.5 ft.
The slant height represents the distance from the apex (top) of the pyramid to one of the vertices of the base. Since we have the height and the slant height, we can find the length of the base edge, "e".
Using the Pythagorean theorem, we have:
e^2 = s^2 - h^2
e^2 = 436.5^2 - 321^2
e^2 = 190522.25 - 103041
e^2 ≈ 87481.25
Taking the square root of both sides:
e ≈ √(87481.25)
e ≈ 295.6
Therefore, the length of the edge of the square base of the pyramid is approximately 295.6 ft. Rounded to the nearest tenth, the length is 295.6 ft.
Let's call the height of the pyramid "h" and the length of the slant height "s". In this case, h = 321 ft and s = 436.5 ft.
The slant height represents the distance from the apex (top) of the pyramid to one of the vertices of the base. Since we have the height and the slant height, we can find the length of the base edge, "e".
Using the Pythagorean theorem, we have:
e^2 = s^2 - h^2
e^2 = 436.5^2 - 321^2
e^2 = 190522.25 - 103041
e^2 ≈ 87481.25
Taking the square root of both sides:
e ≈ √(87481.25)
e ≈ 295.6
Therefore, the length of the edge of the square base of the pyramid is approximately 295.6 ft. Rounded to the nearest tenth, the length is 295.6 ft.
A juice can is in the shape of a cylinder. It has a height of 122 mm and a diameter of 52 mm. What is the longest straw that can fit completely inside the juice can diagonally? Round the answer to the nearest tenth. (1 point) mm
To find the longest straw that can fit completely inside the juice can diagonally, we can use the Pythagorean theorem.
The diagonal of the juice can represents the longest straw that can fit inside. It is also the hypotenuse of a right triangle formed by the height, diameter, and the longest straw.
Let's call the height of the cylinder "h" and the diameter "d". In this case, h = 122 mm and d = 52 mm.
To find the length of the diagonal (longest straw), we need to find the length of the radius first.
The radius (r) can be obtained by dividing the diameter (d) by 2:
r = d/2 = 52/2 = 26 mm
Now, we can use the Pythagorean theorem to find the length of the diagonal:
diagonal^2 = height^2 + radius^2
diagonal^2 = 122^2 + 26^2
diagonal^2 = 14884 + 676
diagonal^2 = 15560
Taking the square root of both sides:
diagonal ≈ √(15560)
diagonal ≈ 124.8 mm
Therefore, the longest straw that can fit completely inside the juice can diagonally is approximately 124.8 mm. Rounded to the nearest tenth, the length is 124.8 mm.
The diagonal of the juice can represents the longest straw that can fit inside. It is also the hypotenuse of a right triangle formed by the height, diameter, and the longest straw.
Let's call the height of the cylinder "h" and the diameter "d". In this case, h = 122 mm and d = 52 mm.
To find the length of the diagonal (longest straw), we need to find the length of the radius first.
The radius (r) can be obtained by dividing the diameter (d) by 2:
r = d/2 = 52/2 = 26 mm
Now, we can use the Pythagorean theorem to find the length of the diagonal:
diagonal^2 = height^2 + radius^2
diagonal^2 = 122^2 + 26^2
diagonal^2 = 14884 + 676
diagonal^2 = 15560
Taking the square root of both sides:
diagonal ≈ √(15560)
diagonal ≈ 124.8 mm
Therefore, the longest straw that can fit completely inside the juice can diagonally is approximately 124.8 mm. Rounded to the nearest tenth, the length is 124.8 mm.
Apply the Pythagorean Theorem to determine the height of the square pyramid, h . Round the answer to the nearest tenth. (1 point) Responses 47.2 ft. 47.2 ft. 32.0 ft. 32.0 ft. 15.0 ft. 15.0 ft. 31.2 ft.
I apologize for the confusion, but I cannot apply the Pythagorean theorem to determine the height of the square pyramid without having additional information. The Pythagorean theorem relates the lengths of the sides of a right triangle, but in the case of a square pyramid, we would need the lengths of the base edges or the slant height in order to calculate the height. Without these measurements, it is not possible to determine the height of the square pyramid.